Journal of Nonlinear Mathematical Physics

Volume 25, Issue 1, February 2018, Pages 166 - 177

On the discretization of Laine equations

Authors
Kostyantyn Zheltukhin
Middle East Technical University, Department of Mathematics, Universiteler Mahallesi, Dumlupinar Bulvar No:1, 06800 Cankaya, Ankara, Turkey,zheltukh@metu.edu.tr
Natalya Zheltukhina
Department of Mathematics, Faculty of Science, Bilkent University, 06800 Bilkent, Ankara, Turkey,natalya@fen.bilkent.edu.tr
Received 20 July 2017, Accepted 31 July 2017, Available Online 6 January 2021.
DOI
10.1080/14029251.2018.1440748How to use a DOI?
Keywords
Semi-discrete chain; Darboux integrability; x-integral; n-integral; discretization
Abstract

We consider the discretization of Darboux integrable equations. For each of the integrals of a Laine equation we constructed either a semi-discrete equation which has that integral as an n-integral, or we proved that such an equation does not exist. It is also shown that all constructed semi-discrete equations are Darboux integrable.

Copyright
© 2018 The Authors. Published by Atlantis and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)
View full text (HTML)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
25 - 1
Pages
166 - 177
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2018.1440748How to use a DOI?
Copyright
© 2018 The Authors. Published by Atlantis and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Kostyantyn Zheltukhin
AU  - Natalya Zheltukhina
PY  - 2021
DA  - 2021/01/06
TI  - On the discretization of Laine equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 166
EP  - 177
VL  - 25
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2018.1440748
DO  - 10.1080/14029251.2018.1440748
ID  - Zheltukhin2021
ER  -